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GCD of 176, 382, 202, 242 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 176, 382, 202, 242 quickly. Get the easiest ways to solve the greatest common divisor of 176, 382, 202, 242 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 176, 382, 202, 242 with Factoring?

Given Input numbers are 176, 382, 202, 242

In the factoring method, we have to find the divisors of all numbers

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (176, 382, 202, 242) = 2.

Find GCD of 176, 382, 202, 242 using Prime Factorization

Given numbers are 176, 382, 202, 242

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 382 are 2 x 191

Prime factors of 202 are 2 x 101

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 176, 382, 202, 242 is 2.

Steps to Calculate GCD of 176, 382, 202, 242 using LCM Formula

Given numbers are 176, 382, 202, 242

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(176, 382) = 33616

GCD(176, 382) = ( 176 x 382 ) / 33616

= 176 / 382

= 176


Step2:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2


Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2


So, Greatest Common Divisor of 176, 382, 202, 242 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 176, 382, 202, 242

Given numbers are 176, 382, 202, 242
The greatest common divisor of numbers 176, 382, 202, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 382, 202, 242 is 2.

FAQs on GCD of 176, 382, 202, 242 Calculator

1. What is the GCD of 176, 382, 202, 242?

GCD of given numbers 176, 382, 202, 242 is 2


2. How to calculate the greatest common divisor of 176, 382, 202, 242?

We can find the highest common divisor of 176, 382, 202, 242 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 176, 382, 202, 242 i.e 2.


3. How can I use the GCD of 176, 382, 202, 242Calculator?

Out the numbers 176, 382, 202, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.